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STEIN'S METHOD AND THE BERRY‐ESSÉEN THEOREM

 

作者: A. D. Barbour,   Peter Hall,  

 

期刊: Australian Journal of Statistics  （WILEY Available online 1984）
卷期: Volume 26, issue 1  

页码: 8-15

 

ISSN:0004-9581

 

年代: 1984

 

DOI:10.1111/j.1467-842X.1984.tb01262.x

 

出版商: Blackwell Publishing Ltd

 

关键词: Berry‐Esséen theorem;Central limit theorem;Lindeberg‐Feller theorem;Stein's method;Sums of independent variables

 

数据来源: WILEY

 

摘要:

SummaryStein's method is used to prove the Lindeberg‐Feller theorem and a generalization of the Berry‐Esséen theorem. The arguments involve only manipulation of probability inequalities, and form an attractive alternative to the less direct Fourier‐analytic methods which are traditionally em

 

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